Finite Group Databasebeta

← #14417206

Subgroups — #14417206

Order 1920.

940 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#4064C211yesmaximal, characteristic
2#11755217C211yesmaximal, characteristic
3#11755140C211yesmaximal, characteristic, complemented
4Q16×Dic15C211yesmaximal, characteristic, complemented
5C5×#5184C211yesmaximal, characteristic, complemented
6#11749264C211yesmaximal, characteristic, complemented
7Dic3×#689C211yesmaximal, characteristic, complemented
8#11749241C211yesmaximal, characteristic, complemented
9Dic3×#688C211yesmaximal, characteristic, complemented
10#11749207C211yesmaximal, characteristic
11D5×#835C211yesmaximal, characteristic, complemented
12#11748051C211yesmaximal, characteristic, complemented
13#11747806C211yesmaximal, characteristic, complemented
14#11747795C211yesmaximal, characteristic, complemented
15#11747618C211yesmaximal, characteristic, complemented
16#10611561—31nomaximal, Hall
17C2×C3×#713C2211yescharacteristic
18C2×C3×Q8×D5C2211yescharacteristic
19C2×C3×C5×Q16C2211yescharacteristic
20Q8×Dic15C2211yescharacteristic
21Q8×Dic15C2211yescharacteristic
22C5×Q8×Dic3C2211yescharacteristic
23C5×Q8×Dic3C2211yescharacteristic
24C2×C3×#689C2211yescharacteristic
25C2×C3×#688C2211yescharacteristic
26C3×#4064C418yescomplemented
27C2×C3×#677C2211yescharacteristic
28C2×C3×#676C2211yescharacteristic
29#91434—21no—
30#91434C2211yescharacteristic
31Dic3×D20—21no—
32Dic3×D20C2211yescharacteristic
33D5×C4⋊Dic3—21no—
34D5×C4⋊Dic3C2211yescharacteristic
35#91358—21no—
36#91358C2211yescharacteristic
37#91357—21no—
38#91357—21no—
39#91357C2211yescharacteristic
40#91331—21no—
41#91331C2211yescharacteristic
42Dic3×Dic10—21no—
43Dic3×Dic10C2211yescharacteristic
44C2×D5×C3⋊C8C2211yescharacteristic
45#91119C2211yescharacteristic
46#91119C2211yescharacteristic
47#91102C2211yescharacteristic
48C8×Dic15C2211yescharacteristic
49C5×#835C2211yescharacteristic
50C5×#835C2211yescharacteristic
51C5×#817C2211yescharacteristic
52C5×#815C2211yescharacteristic
53#90988C2211yescharacteristic
54#90985C2211yescharacteristic
55#90971C2211yescharacteristic
56#90970C2211yescharacteristic
57#90965C2211yescharacteristic
58#90964C2211yescharacteristic
59#90954C2211yescharacteristic
60Dic3×#168C2211yescharacteristic
61#83965—51nomaximal, Hall
62C2×#4064D311yescharacteristic
63#65908—31no—
64#65906—31no—
65C5×#441—31no—
66Q16×Dic5—31no—
67C4×#689—31no—
68C4×#688—31no—
69#65150—31no—
70#65141—31no—
71#65106—31no—
72#65093—31no—
73D5×#103—31no—
74#65078—31no—
75#64999—31no—
76#64997—31no—
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×C5×Q8C2311yescharacteristic
79C3×#713—22no—
80C3×#713C2×C414yes—
81C3×Q8×D5—22no—
82C3×Q8×D5C2×C414yescomplemented
83C2×C3×D20—21no—
84C2×C3×D20C2311yescharacteristic
85C2×C3×C4×D5—21no—
86C2×C3×C4×D5—21no—
87C2×C3×C4×D5C2311yescharacteristic
88C2×C3×Dic10—21no—
89C2×C3×Dic10C2311yescharacteristic
90C2×D5×Dic3—21no—
91C2×D5×Dic3—21no—
92C2×D5×Dic3—21no—
93C3×C5×Q16C2×C414yescomplemented
94C2×C3×C5×C8C2311yescharacteristic
95C4⋊Dic15—21no—
96C4⋊Dic15—21no—
97C4⋊Dic15C2311yescharacteristic
98C4⋊Dic15C2311yescharacteristic
99C4×Dic15—21no—
100C4×Dic15—21no—
101C4×Dic15C2311yescharacteristic
102C2×C3⋊#168C2311yescharacteristic
103C5×C4⋊Dic3—21no—
104C5×C4⋊Dic3—21no—
105C5×C4⋊Dic3C2311yescharacteristic
106C5×C4⋊Dic3C2311yescharacteristic
107C4×C5×Dic3—21no—
108C4×C5×Dic3—21no—
109C4×C5×Dic3C2311yescharacteristic
110C2×C5×C3⋊C8C2311yescharacteristic
111C3×#689C2×C414yescomplemented
112C3×#688C2×C414yescomplemented
113C2×C3×#168C2311yescharacteristic
114C3×#677C2×C414yescomplemented
115C3×#676C2×C414yescomplemented
116#6668—21no—
117#6668—21no—
118#6668—21no—
119#6668D411yescharacteristic
120#6668D411yescharacteristic
121#6665—21no—
122#6665—21no—
123#6665—21no—
124#6665D411yescharacteristic
125#6665D411yescharacteristic
126Dic3×Dic5—21no—
127Dic3×Dic5—21no—
128Dic3×Dic5—21no—
129D5×C3⋊C8—22no—
130C2×C3×#137—51no—
131#5827—51no—
132#5812—51no—
133#5233—51no—
134C2×#835—51no—
135#5184—51no—
136#5184D511yescharacteristic, complemented
137Dic3×Q16—51no—
138Dic3×Q16—51no—
139#5164—51no—
140#5164—51no—
141Dic3×SD16—51no—
142Dic3×SD16—51no—
143#5122—51no—
144#5121—51no—
145C2×#713C2×D311yescharacteristic
146C2×Q8×D5C2×D311yescharacteristic
147C2×C5×Q16C2×D311yescharacteristic
148C4×C5×Q8—31no—
149C4×C5×Q8—31no—
150Q8×Dic5—31no—
151Q8×Dic5—31no—
152C2×#689C2×D311yescharacteristic
153C2×#688C2×D311yescharacteristic
154#4064Dic318yescomplemented
155C2×#677C2×D311yescharacteristic
156C2×#676C2×D311yescharacteristic
157C2×C8×D5—31no—
158#4039—31no—
159#4039—61no—
160#4038—31no—
161#4038—61no—
162D5×C4⋊C4—31no—
163D5×C4⋊C4—61no—
164#4033—31no—
165#4033—61no—
166C4×D20—31no—
167C4×D20—61no—
168#4018—31no—
169#4018—61no—
170#4018—61no—
171C4×Dic10—31no—
172C4×Dic10—61no—
173C5×#106—31no—
174C5×#103—31no—
175C5×#103—31no—
176C5×#97—31no—
177#3967—31no—
178#3967—31no—
179#3953—31no—
180#3950—31no—
181#3948—31no—
182#3947—31no—
183C8×Dic5—31no—
184#3942—31no—
185#3941—31no—
186#3940—31no—
187#3939—31no—
188C4×#168—31no—
189#2947—151noSylow
190C22×C3×D5—21no—
191C22×C3×D5C2×D411yescharacteristic
192C3×C5×Q8—21no—
193C3×C5×Q8—21no—
194C3×C5×Q8C22×C412yes—
195C3×C5×Q8C22×C412yes—
196C2×C3×C4×C5—21no—
197C2×C3×C4×C5—21no—
198C2×C3×C4×C5C2411yescharacteristic
199C2×Dic15—21no—
200C2×Dic15—21no—
201C2×Dic15C2×D411yescharacteristic
202C2×Dic15C2×D411yescharacteristic
203C2×C5×Dic3—21no—
204C2×C5×Dic3—21no—
205C2×C5×Dic3C2×D411yescharacteristic
206C2×C5×Dic3C2×D411yescharacteristic
207C2×C3×Dic5—21no—
208C2×C3×Dic5C2×D411yescharacteristic
209C3×D20—24no—
210C3×D20—21no—
211C3×D20C22×C412yes—
212C3×C4×D5—24no—
213C3×C4×D5—24no—
214C3×C4×D5C22×C412yes—
215C3×C4×D5#4112yes—
216C3×Dic10—21no—
217C3×Dic10—24no—
218C3×Dic10C22×C412yes—
219D5×Dic3—81no—
220D5×Dic3—81no—
221D5×Dic3—81no—
222C3×C5×C8C22×C412yes—
223C3⋊#168—21no—
224C3×#168C22×C412yes—
225C5×C3⋊C8—21no—
226C2×C3×#41—51no—
227C22×C3×Q8—51no—
228C3×#137—58no—
229C2×C3×Q16—51no—
230C2×C3×Q16C2×D511yescharacteristic
231C2×C3×SD16—51no—
232C2×C3×SD16—51no—
233C2×C3×M16—51no—
234Q8×Dic3—51no—
235Q8×Dic3—51no—
236Q8×Dic3—51no—
237Q8×Dic3—51no—
238Q8×Dic3—101no—
239Q8×Dic3—101no—
240Q8×Dic3C2×D511yescharacteristic
241Q8×Dic3C2×D511yescharacteristic
242D4×Dic3—51no—
243D4×Dic3—51no—
244D4×Dic3—101no—
245D4×Dic3—101no—
246#926—51no—
247#926—51no—
248#926—101no—
249#926—101no—
250#926—101no—
251C2×C4⋊Dic3—51no—
252C2×C4⋊Dic3—101no—
253C22×C3⋊C8—51no—
254#835—51no—
255#835—51no—
256#835—51no—
257#835—51no—
258#835C2×D511yescharacteristic
259#835C2×D511yescharacteristic
260#832—51no—
261#832—51no—
262#818—51no—
263#818—51no—
264#817—51no—
265#817C2×D511yescharacteristic
266#815—51no—
267#815C2×D511yescharacteristic
268C8×Dic3—51no—
269C8×Dic3—51no—
270C2×C5×Q8C22×D311yescharacteristic
271C2×C5×Q8C22×D311yescharacteristic
272#713—22no—
273#713C2×Dic314yes—
274Q8×D5—22no—
275Q8×D5C2×Dic314yescomplemented
276C2×D20—21no—
277C2×D20C22×D311yescharacteristic
278C2×C4×D5—21no—
279C2×C4×D5—21no—
280C2×C4×D5—61no—
281C2×C4×D5—61no—
282C2×C4×D5—61no—
283C2×C4×D5C22×D311yescharacteristic
284C2×Dic10—21no—
285C2×Dic10C22×D311yescharacteristic
286C5×Q16C2×Dic314yescomplemented
287C2×C5×C8—31no—
288C2×C5×C8C22×D311yescharacteristic
289C5×C4⋊C4—31no—
290C5×C4⋊C4—31no—
291C5×C4⋊C4—61no—
292C5×C4⋊C4—61no—
293C42×C5—31no—
294C42×C5—61no—
295C42×C5—61no—
296#689C2×Dic314yescomplemented
297#688C2×Dic314yescomplemented
298#685—31no—
299#685—31no—
300#685—61no—
301#685—61no—
302#685—61no—
303C4⋊Dic5—31no—
304C4⋊Dic5—31no—
305C4⋊Dic5—61no—
306C4⋊Dic5—61no—
307#683—31no—
308#683—31no—
309#683—61no—
310#683—61no—
311#683—61no—
312C4×Dic5—31no—
313C4×Dic5—61no—
314C4×Dic5—61no—
315C4×Dic5—61no—
316C4×Dic5—61no—
317C4×Dic5—61no—
318C2×#168—31no—
319C2×#168C22×D311yescharacteristic
320#677C2×Dic314yescomplemented
321#676C2×Dic314yescomplemented
322C8×D5—62no—
323C2×#137—51no—
324#520—151no—
325#519—151no—
326#441—31no—
327#441—151no—
328#440—151no—
329#440—151no—
330C4×Q16—151no—
331C4×Q16—151no—
332C4×SD16—151no—
333C4×SD16—151no—
334#428—151no—
335#416—151no—
336C2×#103—151no—
337#405—151no—
338C22×C3×C5C22×D411yescharacteristic
339C2×C3×D5—21no—
340C2×C3×D5—21no—
341C2×C3×D5—22no—
342C2×C3×D5—41no—
343C2×C3×D5—41no—
344C2×C3×D5C4×D412yes—
345C3×C4×C5—22no—
346C3×C4×C5—22no—
347C3×C4×C5C23×C411yescharacteristic
348C3×C4×C5C2×#4111yescharacteristic
349Dic15—21no—
350Dic15—21no—
351Dic15—41no—
352Dic15—41no—
353C3×Dic5—22no—
354C3×Dic5C4×D412yes—
355C5×Dic3—21no—
356C5×Dic3—21no—
357C5×Dic3—41no—
358C5×Dic3—41no—
359C3×#41—54no—
360C3×#41—102no—
361C2×C3×Q8—54no—
362C2×C3×Q8—51no—
363C2×C3×Q8—101no—
364C2×C3×Q8—102no—
365C2×C3×Q8C22×D511yescharacteristic
366C2×C3×Q8C22×D511yescharacteristic
367C2×C3×D4—51no—
368C2×C3×D4—101no—
369C22×C3×C4—51no—
370C22×C3×C4—101no—
371C22×C3×C4—101no—
372C22×Dic3—101no—
373C22×Dic3—101no—
374C22×Dic3—101no—
375C3×Q16—54no—
376C3×Q16C4×D514yescomplemented
377C3×SD16—54no—
378C3×SD16—54no—
379C3×M16—54no—
380C2×C3×C8—51no—
381C2×C3×C8C22×D511yescharacteristic
382#217—51no—
383#217—51no—
384#217—101no—
385#217—101no—
386#217—101no—
387C4⋊Dic3—21no—
388C4⋊Dic3—21no—
389C4⋊Dic3—51no—
390C4⋊Dic3—51no—
391C4⋊Dic3—51no—
392C4⋊Dic3—51no—
393C4⋊Dic3—101no—
394C4⋊Dic3—101no—
395C4⋊Dic3—101no—
396C4⋊Dic3—101no—
397C4⋊Dic3—101no—
398C4⋊Dic3C22×D511yescharacteristic
399C4⋊Dic3C22×D511yescharacteristic
400C4×Dic3—21no—
401C4×Dic3—21no—
402C4×Dic3—51no—
403C4×Dic3—101no—
404C4×Dic3—101no—
405C4×Dic3—101no—
406C4×Dic3—101no—
407C4×Dic3—101no—
408C4×Dic3C22×D511yescharacteristic
409C2×C3⋊C8—51no—
410C2×C3⋊C8—102no—
411C2×C3⋊C8C22×D511yescharacteristic
412C22×D5—21no—
413C22×D5D3×D411yescharacteristic
414C5×Q8—21no—
415C5×Q8—21no—
416C5×Q8C22×Dic312yes—
417C5×Q8C22×Dic312yes—
418C2×C4×C5—21no—
419C2×C4×C5—21no—
420C2×C4×C5—31no—
421C2×C4×C5—31no—
422C2×C4×C5—61no—
423C2×C4×C5—61no—
424C2×C4×C5C23×D311yescharacteristic
425C2×Dic5—21no—
426C2×Dic5—31no—
427C2×Dic5—31no—
428C2×Dic5—61no—
429C2×Dic5—61no—
430C2×Dic5D3×D411yescharacteristic
431D20—24no—
432D20—21no—
433D20C22×Dic312yes—
434C4×D5—24no—
435C4×D5—24no—
436C4×D5—241no—
437C4×D5—241no—
438C4×D5—241no—
439C4×D5#23712yes—
440C4×D5C22×Dic312yes—
441Dic10—21no—
442Dic10—24no—
443Dic10C22×Dic312yes—
444C5×C8—61no—
445C5×C8C22×Dic312yes—
446#168—61no—
447#168C22×Dic312yes—
448C2×#41—51no—
449C22×Q8—51no—
450#137—58no—
451C2×Q16—51no—
452C2×Q16D3×D511yescharacteristic
453C2×SD16—51no—
454C2×SD16—51no—
455C2×M16—51no—
456C22×C8—151no—
457C4×Q8—31no—
458C4×Q8—31no—
459C4×Q8—151no—
460C4×Q8—151no—
461C4×Q8—151no—
462C4×Q8—151no—
463C4×Q8—301no—
464C4×Q8—301no—
465C4×D4—151no—
466C4×D4—151no—
467C4×D4—301no—
468C4×D4—301no—
469#117—151no—
470#117—151no—
471#117—301no—
472#117—301no—
473#117—301no—
474C2×C4⋊C4—151no—
475C2×C4⋊C4—301no—
476#107—151no—
477#107—151no—
478#106—31no—
479#106—151no—
480#103—31no—
481#103—31no—
482#103—151no—
483#103—151no—
484#103—151no—
485#103—151no—
486#102—151no—
487#102—151no—
488#97—31no—
489#97—151no—
490C4×C8—151no—
491C4×C8—151no—
492C2×C3×C5C2×C4×D411yescharacteristic
493C2×C3×C5#57711yescharacteristic
494C2×C3×C5#57811yescharacteristic
495C3×D5—22no—
496C3×D5—42no—
497C23×C3—51no—
498C23×C3—101no—
499C3×Q8—21no—
500C3×Q8—21no—
501C3×Q8—52no—
502C3×Q8—104no—
503C3×Q8—101no—
504C3×Q8C2×C4×D512yes—
505C3×Q8C2×C4×D512yes—
506C3×D4—52no—
507C3×D4—104no—
508C3×D4—101no—
509C2×C3×C4—21no—
510C2×C3×C4—21no—
511C2×C3×C4—51no—
512C2×C3×C4—52no—
513C2×C3×C4—52no—
514C2×C3×C4—104no—
515C2×C3×C4—104no—
516C2×C3×C4—101no—
517C2×C3×C4C23×D511yescharacteristic
518C2×Dic3—21no—
519C2×Dic3—21no—
520C2×Dic3—51no—
521C2×Dic3—51no—
522C2×Dic3—101no—
523C2×Dic3—101no—
524C2×Dic3—401no—
525C2×Dic3—401no—
526C2×Dic3—401no—
527C2×Dic3D4×D511yescharacteristic
528C2×Dic3D4×D511yescharacteristic
529C3×C8—52no—
530C3×C8C2×C4×D512yes—
531C3⋊C8—21no—
532C3⋊C8—101no—
533C22×C5C2×D3×D411yescharacteristic
534C2×D5—21no—
535C2×D5—21no—
536C2×D5—22no—
537C2×D5—41no—
538C2×D5—41no—
539C2×D5D4×Dic312yes—
540C4×C5—22no—
541C4×C5—22no—
542C4×C5—61no—
543C4×C5—61no—
544C4×C5—121no—
545C4×C5—121no—
546C4×C5C2×#23711yescharacteristic
547C4×C5C23×Dic311yescharacteristic
548Dic5—22no—
549Dic5—61no—
550Dic5—61no—
551Dic5—121no—
552Dic5—121no—
553Dic5D4×Dic312yes—
554#41—54no—
555#41—102no—
556C2×Q8—54no—
557C2×Q8—51no—
558C2×Q8—101no—
559C2×Q8—102no—
560C2×Q8C2×D3×D511yescharacteristic
561C2×Q8C2×D3×D511yescharacteristic
562C2×D4—51no—
563C2×D4—101no—
564C22×C4—51no—
565C22×C4—101no—
566C22×C4—101no—
567C22×C4—301no—
568C22×C4—301no—
569C22×C4—301no—
570Q16—54no—
571Q16D5×Dic314yescomplemented
572SD16—54no—
573SD16—54no—
574M16—54no—
575C2×C8—31no—
576C2×C8—51no—
577C2×C8—151no—
578C2×C8—302no—
579C2×C8C2×D3×D511yescharacteristic
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—151no—
585C4⋊C4—151no—
586C4⋊C4—151no—
587C4⋊C4—151no—
588C4⋊C4—301no—
589C4⋊C4—301no—
590C4⋊C4—301no—
591C4⋊C4—301no—
592C4⋊C4—301no—
593C22⋊C4—151no—
594C22⋊C4—151no—
595C22⋊C4—301no—
596C22⋊C4—301no—
597C22⋊C4—301no—
598C42—31no—
599C42—61no—
600C42—61no—
601C42—151no—
602C42—301no—
603C42—301no—
604C42—301no—
605C42—301no—
606C42—301no—
607C3×C5#294711yescharacteristic, complemented, Hall
608C22×C3—52no—
609C22×C3—101no—
610C22×C3—101no—
611C22×C3—102no—
612C22×C3—201no—
613C22×C3—201no—
614C22×C3C2×D4×D511yescharacteristic
615C3×C4—22no—
616C3×C4—22no—
617C3×C4—52no—
618C3×C4—102no—
619C3×C4C22×C4×D511yescharacteristic
620C3×C4D5×#4111yescharacteristic
621Dic3—21no—
622Dic3—21no—
623Dic3—41no—
624Dic3—41no—
625Dic3—101no—
626Dic3—101no—
627Dic3—201no—
628Dic3—201no—
629C2×C5#577811yescharacteristic
630C2×C5#577911yescharacteristic
631C2×C5C2×D4×Dic311yescharacteristic
632D5—22no—
633D5—42no—
634C23—51no—
635C23—101no—
636Q8—21no—
637Q8—21no—
638Q8—52no—
639Q8—104no—
640Q8—101no—
641Q8C2×D5×Dic312yes—
642Q8C2×D5×Dic312yes—
643D4—52no—
644D4—104no—
645D4—101no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—31no—
649C2×C4—31no—
650C2×C4—51no—
651C2×C4—52no—
652C2×C4—52no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—104no—
656C2×C4—104no—
657C2×C4—101no—
658C2×C4—151no—
659C2×C4—151no—
660C2×C4—301no—
661C2×C4—301no—
662C2×C4—1201no—
663C2×C4—1201no—
664C2×C4—1201no—
665C2×C4C22×D3×D511yescharacteristic
666C8—52no—
667C8—61no—
668C8—301no—
669C8C2×D5×Dic312yes—
670C2×C3—102no—
671C2×C3—202no—
672C2×C3C4×D4×D511yescharacteristic
673C2×C3#6611211yescharacteristic
674C2×C3#6611311yescharacteristic
675C5#8396511yescharacteristic, complemented, Sylow
676C22—52no—
677C22—101no—
678C22—101no—
679C22—102no—
680C22—201no—
681C22—201no—
682C22D3×D4×D511yescharacteristic
683C4—22no—
684C4—22no—
685C4—52no—
686C4—61no—
687C4—61no—
688C4—102no—
689C4—121no—
690C4—121no—
691C4—301no—
692C4—301no—
693C4—601no—
694C4—601no—
695C4D5×#23711yescharacteristic
696C4C22×D5×Dic311yescharacteristic
697C3#1061156111yescharacteristic, complemented, Sylow
698C2—102no—
699C2—202no—
700C2#1175410911yescharacteristic
701C2#1175411111yescharacteristic
702C2D4×D5×Dic311yescharacteristic
subgroupG/H
centerC22D3×D4×D5
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC2×C3×C5×Q16C22
socleC22×C3×C5C22×D4
prime radicalC2×C3×#713C22
cosocleC2×C3×C4×C5C24
hypercenterC2×Q16D3×D5
hypocenterC3×C5#2947
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×Q16

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
3. #11755140C2semidirect
4. Q16×Dic15C2semidirect
5. C5×#5184C2semidirect
6. #11749264C2semidirect
7. Dic3×#689C2semidirect
8. #11749241C2semidirect
9. Dic3×#688C2semidirect
11. D5×#835C2semidirect
12. #11748051C2semidirect
13. #11747806C2semidirect
14. #11747795C2semidirect
15. #11747618C2semidirect
26. C3×#4064C4semidirect
82. C3×Q8×D5C2×C4semidirect
93. C3×C5×Q16C2×C4semidirect
111. C3×#689C2×C4semidirect
112. C3×#688C2×C4semidirect
114. C3×#677C2×C4semidirect
115. C3×#676C2×C4semidirect
136. #5184D5semidirect
154. #4064Dic3semidirect
275. Q8×D5C2×Dic3semidirect
286. C5×Q16C2×Dic3semidirect
296. #689C2×Dic3semidirect
297. #688C2×Dic3semidirect
320. #677C2×Dic3semidirect
321. #676C2×Dic3semidirect
376. C3×Q16C4×D5semidirect
571. Q16D5×Dic3semidirect
607. C3×C5#2947semidirect
675. C5#83965semidirect
697. C3#10611561semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×C3×#40642
#117552172
#117551402
Q16×Dic152
C5×#51842
#117492642
Dic3×#6892
#117492412
Dic3×#6882
#117492072
D5×#8352
#117480512
#117478062
#117477952
#117476182
#106115613
#839655